Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 100237 Curtis Cooper 10 56.5769 90200 Patrick Laroche 1 56.4714 73485 Jonathan (Jon) Pace 1 56.2664 51809 Ryan Propper 325 55.9169 13460 Serge Batalov 309.833 54.5691 12363 Edson Smith 1 54.4841 11957 Odd Magnar Strindmo 1 54.4507 7846 Hans-Michael Elvenich 1 54.0294 4749 Steven R. Boone 1 53.5273 4585 Péter Szabolcs 1 53.4922 3892 Tom Greer 120 53.3282 2621 Dr. Martin Nowak 1 52.9330 2352 Anonymous Person(s) 228 52.8246 2281 Dr. James Scott Brown 170 52.7938 2070 Josh Findley 1 52.6968 1757 Pavel Atnashev 12 52.5331 1725 Rob Gahan 30 52.5143 1559 Kazuya Tanaka 1 52.4136 1368 Michael Shafer 1 52.2829 1367 Arno Lehmann 3 52.2822

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.